contestada

A ski shop skis with lengths ranging from 150 centimeters to 220 centimeters. The shops says the length of the skis should be about 1.16 times a skin's height.Write and solve a compound inequality that represents the heights of skiers the shop does not provide skis for

Respuesta :

calculista

Answer:

h > 189.66\ cm  or  h< 129.31\ cm

Step-by-step explanation:

Let

h ----> a skier's height in centimeters

we know that

A ski shop sells skis with lengths ranging from 150 centimeters to 220 centimeters

The interval of the skis is -----> [150,220]

The compound inequality that represents the heights (in centimeters) of skiers the shop does not provide skis is

[tex]1.16h > 220\ cm[/tex]----> inequality A

or

[tex]1.16h< 150\ cm[/tex] ----> inequality B

Solve inequality A

[tex]1.16h > 220\ cm[/tex]

Divide by 1.16 both sides

[tex]h > 189.66\ cm[/tex]

Solve inequality B

[tex]1.16h< 150\ cm[/tex]

Divide by 1.16 both sides

[tex]h< 129.31\ cm[/tex]

therefore

[tex]h > 189.66\ cm[/tex]   or  [tex]h< 129.31\ cm[/tex]